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＜電子ブック＞
Iterates of Piecewise Monotone Mappings on an Interval / by Chris Preston
(Lecture Notes in Mathematics. ISSN:16179692 ; 1347)

版	1st ed. 1988.
出版者	(Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer)
出版年	1988
大きさ	VIII, 172 p : online resource
著者標目	*Preston, Chris author SpringerLink (Online service)
件　名	LCSH:Functions of real variables FREE:Real Functions
一般注記	Piecewise monotone mappings -- Proof of Theorems 2.4 and 2.5 -- Sinks and homtervals -- Examples of register-shifts -- A proof of Parry's theoren (Theorem 2.6) -- Reductions -- The structure of the set D(f) -- Countable closed invariant sets -- Extensions -- Refinements -- Mappings with one turning point -- Some miscellaneous results from real analysis Piecewise monotone mappings on an interval provide simple examples of discrete dynamical systems whose behaviour can be very complicated. These notes are concerned with the properties of the iterates of such mappings. The material presented can be understood by anyone who has had a basic course in (one-dimensional) real analysis. The account concentrates on the topological (as opposed to the measure theoretical) aspects of the theory of piecewise monotone mappings. As well as offering an elementary introduction to this theory, these notes also contain a more advanced treatment of the problem of classifying such mappings up to topological conjugacy HTTP:URL=https://doi.org/10.1007/BFb0079769

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